Imagine counting all positive integers overa unit period of time, from zero to one, thusly:Count 1 at time 1/2, 2 at time 3/4, 3 attime 7/8, and so on, with each integer comingat half of the remaining time after the lastinteger counted. As the time moves inexorablytoward one, and becomes almost one, the numberof integers counted becomes just as almost infinite.